I wanted to apply for two positions at the same (small) company. Because I am desperate for work, I applied for a position which I don't like but where I have more experience. They got back to me fast, before I applied for the second position, and started the application process.
During the application process I asked about possiblity of applying for two positions at once to which the reply was basically "if(after) we don't accept you for this position, you may apply for others". During the interview process, I was asked about my "desire" for both positions. I think this was where I messed up because I might have showed more interest in the second position.
Two rounds later I was rejected for the first position, but there was no mention of possibility of applying for the second in the rejection email, except something along the lines of "Good luck in your future work. Feel free to contact us if you find an interesting position for yourself". I am not completely sure why they really rejected my first application.
How to proceed? Should I just apply for the second position? Do I mention something in the application? Should I first write to the HR that sent me the rejection asking about it?