Basically, don't see the game as a grind. Don't think "I need X, then i can start playing/having fun". Play to have fun, and eventually you get more stuff. But you don't exactly need that stuff, because you are already having fun.
And if you are not having fun, why play a game that isn't fun for you?
That being said, you will still get stuff a lot slower once you are at T3, and even more slowly once you are on T4 ships. That is a problem if you just want to get to T4 to start playing. It is not a problem if you are having fun flying the ships that you currently have.
And corvettes are sometimes annoying to deal with, but it can be done. I can especially recommend the "stasis pulse" module on dreadnoughts.
I am only talking about the PC version. I have no idea about Playstation.