My iPhone 3G will not turn on?

I just bought an iPhone 3 off of ebay. The user said that the phone has not been used for at least two years. The phone looks like it is in almost perfect condition with very little scratches and there isn't any proof that the phone has been dropped.
A few hours later the phone will turn on for a few seconds/a minute, the apple will appear, but the screen is still very dark, then it will shut off again. This has happened a few times. Any ideas/help?

Yes, I have tried holding the home button, power button, both, switching the hold, etc.etc.

How to download Spotify Premium onto my iPhone 4?

My free trial ended and it didn't give me the option to upgrade to premium. Can it be purchased in the app store? (I didn't see it there) Or is it something I have to download from online? Is it even compatible with the iphone, or is it a computer-only thing?

Would it be gay for a guy to have a case like this?

Http://www.bestbuy.com/site/eForCity±+Bundle+Half-Heart+Case+for+Apple%26%23174%3B+iPhone%26%23174%3B+4+(AT%26T+and+Verizon)+and+4S±+Black/Chrome/White/Silver/5421686.p?id=1218642161369&skuId=5421686&st=iphone%204%20case&cp=6&lp=8

I really like it and i like a lot of cute things like that that are themed around love and stuff and yeah. Or something like this?

http://www.zazzle.com/love_tree_day_case_for_the_iphone_4-179407044838745304

I mean right around now you should have a good idea of what kind of stuff I like so should I get that or do you think I'd end up looking gay?

I took pictures of my Iphone and now there gone?

How do I get them back? When i plugged my iphone into my itunes it erased all my pictures of my phone, how can i get them back? Help please and thank you!

Added (1). Its a mac, and what's iphoto? Where do you see that?

Added (2). I meant off my iphone

Added (3). ALSO IT DIDN't SHOW UP IN IPHOTO

I can't get to the internet on my Iphone?

I don't know what the problem is. I try to use either Google or Safari, but when I try to type in something, it just closes. As for the Google app, it closes and shows a red bar with the word Google on it on my screen after it exits itself out of Google (looks a lot like the Shazam thing). What do I do? I use this Iphone for everything. I've had it for over a year and a half. Is it time to get a new one?

Which one is better? Iphone 4s or 5?

I'm thinking for replacing my 3Gs but still don't know wheter i replace it with 4s or 5. I've seen the spec and compare those two iphones. Is 4s as good as 5?