Rycast,
I am in a similar situation to you, I am currently a Junior in college and will be applying to the OTS rated board next January.
I have talked to my recruiter recently and what he told me is that you ARE allowed to only apply for pilot and you can reapply as many times as you want. He does recommend putting the other rated jobs on your list because there is a higher chance of being selected (especially RPA right now). Luckily my recruiter doesn't care about the number of people he gets in and is more interested in helping people. Your recruiter may have told you that you need to apply to all rated jobs because you are more likely to get selected which would be better for him.
I'm not saying that this is definitely the case, and I don't pretend to be an expert on the subject since I've only just started the process but I thought I'd share what I had been told.
IF what my recruiter told me is true than what I'd say is that it can't hurt to apply for only pilot in June with your current scores. If you don't get picked up apply again in January and by then you can have retaken the TBAS and maybe get some more flight hours.
Best of luck,