The sample questiones you attached seem rather trivial (it took me about 5min to solve them, I can write down the solution if you wish).
Automata theory is one of my main interests, I have proven a little theorem in my thesis and participated in a research project - so with no doubt I could help you with this kind of problems.
If you are interested, please do not hesitate to contact me in order to discuss the details.
With Best Regards,
Jędrzej Kołodziejski