No: a flaw is a type of problem, not a thing with a problem.
If your PSP had this problem at the time you bought it, then we would say "My PSP is defective." If it worked correctly at the beginning but this problem has developed over time, then we would probably say something like "My PSP doesn't work very well any more."
No. You can't say it is a flaw, but you could say it has a flaw. But having said that, it's not the most natural word in this context. We are more likely to say 'It has a fault', or 'It's developed a fault, or 'It's faulty'.
Crossed with Glenfarclas, whose suggestions are good ones.