I get your concern. Of course these quick answers I'm giving are just the tip of the ice burg, but maybe it'll serve as food for thought you can pray and research these things.
-Q: Does God answer prayers?
-A: Yes. Granted, just because we ask doesn't mean he will answer YES, nor will it mean he will always answer that moment, but one thing he will not deny you is when you ask of the things he wills. (Check Matthew 7:7, Matthew 21:22, Mark 11:24).
-Q: Does God exist?
-A: Yes. This is something that lead me back to God intellectually. Atheists claim to be the group of logic and reason, but one major thing that strikes down their logic is that it's impossible for something to come from nothing. For instance, they believe the world began via the Big Bang--however, they are ONLY believing in a reaction. They do not have a logical reason behind First Cause. If the Big Bang did happen, who struck the match? How did the Big Bang start? There has to be a mover to have something created.
This is only one simple reasoning behind God, but there is much more beyond that, like that everything that begins to exist has a cause, and if God exists, God has a cause, etc. etc.
-Q: Does God grant wishes like a genie?
-A: No. When we pray, we're not making wishes (though some probably do wrongly). When we pray to God, we are to remember to do it in worship and thankfully. Some people might say "If God is so great, then why does he need people to worship him?" He doesn't. He's God. He has everything. However, he is all-loving and when He requests us to worship Him, it's for his benefit, but for ours--because we legitimately need Him.
Friend, when you suffer, God knows it. Not only does He know it, He knows how it feels. He knows it better than any of us. He's been there. That is why He wants us to come to Him at all times.
Conclusion: God absolutely exists--it is logical and reasonable to come to that conclusion. Yes, God loves you because God literally created all things good. That's why God IS love (1 John 4:8). And because he exists, he has a cause, and you need him, as everyone does.
That's the good news. You are not living in a world where no one can hear you, nor are you living in a world where a god CAN hear you but doesn't care. You live in a world where a loving, caring God DOES hear you and is there for you when you call on Him. I believe this to be a fact.
Never stop praying and seeking Him.