With so many inexpensive captive bred snakes, there really is no reason to make a pet out of a wild snake. I'm not surprised Jake is not eating.
There is some controversy about releasing a snake back into the wild as well, but as long as it has only been two weeks and you don't have any other reptiles who could have infected him with something, he's probably better off being what he is, a wild snake. Keeping him may well be a death sentence. If he has parasites, captivity only makes that worse since kept in close quarters he can reinfect himself.
The downsides of keeping a wild snake are just not worth it. Years ago, that was the only choice; but among the American rat snakes, you can pretty well get any species you want captive bred. And that's for under $100. If money is tight and you can't afford the price of the snake, you certainly can't afford the proper upkeep. It's not that much, but it is around $20 per snake. If you include annual vet exams instead of when needed visits it can easily be closer to $35 a month.
You also haven't mentioned your enclosure and the other things you are doing to care for your snake. That can definitely affect his adjustment to captivity and his willingness to eat.
There is no reason to capture any American rat snake unless it is by a professional who has a specific scientific or breeding plan for that snake. And even then it should not be done casually.
Spend some time here reading the stickies please. Please do ask questions. Though it is discouraged to keep a wild snake I'd certainly rather see Jake live than to see him waste away on you over several months. Please know that everything that I have said is by way of education, not of judgement.
I'd really love to see you have a great pet snake that was born and bred for the captive life. There really are no down sides except for the nominal initial price of the snake itself. Everything else about it is a plus. Of course around here we are partial to corn snakes. They are rat snakes but are so docile, friendly, and adapted to captivity that they make the best pets ever.