Seriously a master pick lock can't unlock level 45 door? or does it matter about my lock pick skills?

The various levels of the equipment (Apprentice, Master, etc) have nothing to do with the lock and everything to do with the modifier to your Security skill. Better equipment gives you a better modifier. If your Security skill is decently high, then you'd be able to pick a Level 40 lock, even with very poor equipment. But if your Security skill is low, you could be using Grandmaster or Secret Master picks and still fail to pick it. I think you'd succeed eventually since there is an element of chance involved, but you'd probably burn through a pick or two in the process.

Could be your luck is really, really low? If your Security skill is at 100, you should be able to pick anything, eventually.

The pick's quality multiplies the level of Security, Agility, and Luck you bring to bear upon a lock. All the factors matter, but I don't know the formula. If I had to guess, I'd say Security is the single most important factor in it.

The equation is: 1.25(Security skill + Agility/5 + Luck/10)(lockpick multiplier) - Lock level
Factors are Agility, Luck, your Security Skill, and the quality of the probe you're using.

Fatigue is also a factor for all actions, so I'm pretty sure it does play a role.

You need both the Tools and the Talent but Talent is more important. Talent will get you places when your Tools are not up to snuff, but Tools will not get you anywhere when your Talent is not up to the Task.