Fallout3.esmAnchorage.esmThePitt.esmBrokenSteel.esmPointLookout.esmCRAFT.esmCALIBR.esmProject Beauty HD version.esmDCInteriors_ComboEdition.esmStreetLights.esmFO3 Wanderers Edition - Main File.esmMart's Mutant Mod.esmEnhanced Weather - Rain and Snow.esmHairPack.esmDarNifiedUIF3.espCASM.espOwned!.espFairfaxApartment.espBigtownJunkHouse.espYevicsUrbanTownhome.espExistence2.0.espDN_RecyclingMachine.espStreetLights - Wasteland.espCRAFT - Activation Perk.espCALIBRxMerchant.espFO3 Wanderers Edition - Main File.espFO3 Wanderers Edition - DLC Anchorage.espFO3 Wanderers Edition - DLC The Pitt.espFO3 Wanderers Edition - DLC Point Lookout.espFO3 Wanderers Edition - DLC Broken Steel.espFO3 Wanderers Edition - Alternate Travel.espFO3 Wanderers Edition - Followers Enhanced (BrokenSteel).espFO3 Wanderers Edition - Project Beauty.espFO3 Wanderers Edition - Project Beauty (HD Addition).espFO3 Wanderers Edition - Project Beauty (Followers Enhanced).espRobCo Certified.espUPP - Pack 1.espUPP - Pack 2.espUPP  - Quest Perks.espWeaponModKits.espWeaponModKits - FWE Master Release.espWeaponModKits - OperationAnchorage.espWeaponModKits - ThePitt.espWeaponModKits - BrokenSteel.espWeaponModKits - PointLookout.espEVE.espEVE - FWE Master Release.espEVE - FWE with WeaponModKits.espmika_essential.espMannequin.espRefugee Clothing.espSniperZooming.espJHBCloverPlus.espK2Clothes_BrownLeather03.espK2Clothes_TartanMinis04.espDIM CUSTOM PRESETS V1.3WEB.espSomePoses.espCombatDuster.espbittercup_comp.espMart's Mutant Mod.espMart's Mutant Mod - DLC Anchorage.espMart's Mutant Mod - DLC The Pitt.espMart's Mutant Mod - DLC Broken Steel.espMart's Mutant Mod - DLC Point Lookout.espMart's Mutant Mod - FWE Master Release.espMart's Mutant Mod - FWE with EVE.espMart's Mutant Mod - Project Beauty.espMart's Mutant Mod - Project Beauty (HD Addition).espMart's Mutant Mod - Project Beauty + FWE.espXepha's Dynamic Weather - Main.espEnhanced Weather - Rain and Snow in Fallout.espEnhanced Weather - Radioactive Rain and Snow Plugin.espEnhanced Weather - Sneak Bonus during Storms.espEnhanced Weather - Weather Sounds in Interiors.espTotal active plugins: 74Total plugins: 105

Seems ok, but are these compatible?? (probably not)

I'm waiting for a load order where Fallout.esm isn't loaded first, and every time I see a load order that doesn't have that problem I get disappointed .

Here's my actual load order. Can be improved but it can serve as a basis for your load order

[X] Fallout3.esm[X] Correctif - Base.esm[X] PointLookout.esm[X] Anchorage.esm[X] ThePitt.esm[X] BrokenSteel.esm[X] Zeta.esm[X] Enhanced Weather - Rain and Snow.esm[X] Xepha's Dynamic Weather.esm[X] CALIBR.esm[X] CRAFT.esm[X] Project Beauty HD version.esm[X] FO3 Wanderers Edition - Main File.esm[X] Mart's Mutant Mod.esm[X] StreetLights.esm[X] CubeExperimental (EN).esm[X] All Your Bananas.esm[X] Correctif - Base.esp[X] Correctif - Fallout 3.esp[X] Correctif - Operation Anchorage.esp[X] Correctif - The pitt.esp[X] Correctif - Broken Steel.esp[X] Correctif - Point Lookout.esp[X] Correctif - Mothership Zeta.esp[X] CALIBRxMerchant.esp[X] CRAFT - Activation Perk.esp[X] DarNifiedUIF3.esp[X] Overhead3PCamera.esp[X] GalaxyNewsRadio100[M].esp[X] MergedTailorMaid.esp[X] MergedClothesItems.esp[X] AsharasBatmanItems.esp[X] MergedPerks.esp[X] AquaPura 3000.esp[X] CONELRAD 640-1240.esp[X] Existence2.0.esp[X] KBATRadio.esp[X] HeirApparent.esp[X] PLweightadjust.esp[X] Princess Top of the World DE.esp[X] MergedHousesZSP.esp[X] Princess Tenpenny Home Extension.esp[X] MiniHideout.esp[X] BurgerBoyCompound.esp[X] Megaton Tweaks.esp[X] DCInteriors_ComboEdition.esp[X] Brahmin Dairy Products.esp[X] Stealthboy Recon Armor - CRAFT.esp[X] F3UmpaAnimation.esp[X] MergedTweaks.esp[X] 1PipboyPDA.esp[X] StreetLights - Wasteland.esp[X] Automated FOV.esp[X] megalight.esp[X] Patrouilles CdA.esp[X] GL6Paulson.esp[X] FO3 Wanderers Edition - Main File.esp[X] FO3 Wanderers Edition - DLC Anchorage.esp[X] FO3 Wanderers Edition - DLC Broken Steel.esp[X] FO3 Wanderers Edition - DLC Mothership Zeta.esp[X] FO3 Wanderers Edition - DLC Point Lookout.esp[X] FO3 Wanderers Edition - DLC The Pitt.esp[X] FO3 Wanderers Edition - Followers Enhanced (BrokenSteel).esp[X] FO3 Wanderers Edition - Project Beauty.esp[X] FO3 Wanderers Edition - Project Beauty (HD Addition).esp[X] FO3 Wanderers Edition - Project Beauty (Followers Enhanced B-S).esp[X] WeaponModKits.esp[X] WeaponModKits - FWE Master Release.esp[X] WeaponModKits - OperationAnchorage.esp[X] WeaponModKits - ThePitt.esp[X] WeaponModKits - BrokenSteel.esp[X] WeaponModKits - PointLookout.esp[X] WeaponModKits - Zeta.esp[X] Mart's Mutant Mod.esp[X] Mart's Mutant Mod - DLC Anchorage.esp[X] Mart's Mutant Mod - DLC The Pitt.esp[X] Mart's Mutant Mod - DLC Broken Steel.esp[X] Mart's Mutant Mod - DLC Point Lookout.esp[X] Mart's Mutant Mod - DLC Zeta.esp[X] Mart's Mutant Mod - FWE Master Release.esp[X] Mart's Mutant Mod - Project Beauty (HD Addition).esp[X] Mart's Mutant Mod - Project Beauty + FWE.esp[X] RCmarketNoFire.esp[X] Echo_UseBothGloves.esp[X] FollowersRelax.esp[X] Xepha's Dynamic Weather - Main.esp[X] Xepha's Dynamic Weather - Anchorage.esp[X] Xepha's Dynamic Weather - The Pitt.esp[X] Xepha's Dynamic Weather - Broken Steel.esp[X] Xepha's Dynamic Weather - Point Lookout.esp[X] Xepha's Dynamic Weather - Rain (OA).esp[X] LucyWestCompanion.esp[X] BriannaCompanion.esp[X] bittercup_comp.esp[X] Mez's Merged Patch 5-0 - DLC-FWE-WMK-MMM.esp

In your load order, I see the following problems:

- Hair pack.esm should be deactivated. You're using Project Beauty so you don't need it.
- the UPP esp should come before the FWE esp so that you'll get the changes to vanilla perks of FWE while still getting the added Perks from UPP.
- check the Dynamic Weather page on Nexus, there's a new file wich will add rain in the game. Install it, keep the Enhanced weather esm and get rid of the esps.
- You need a merged patch, Mez's Merged patch will fit the bill (check the FWE page on Nexus).