Congrats for your H1-B application got picked. At this point i didn't see any issues with your situation and there is no problem in applying with your future company. There is no need to panic and wait for the response from USCIS. If your future employer is genuine and provided all the information that requires to satisfy the H1-B position they are trying to offer, then you should be good.
Also sometimes it depends on the consular officer and he/she might ask additional information to clarify the information. But it doesn't mean that USCIS intended to deny your application. Also based on new H1-B rules USCIS might check indepth about your education qualifications especially your degree is related to Computers or not. In Such scenario's, if they didn't satisfy with your degree then there is a chacne of RFE.
I would suggest no panic at this point and wait for the outcome and work with your future employer accordingly (RFE's will be taken care by your company & their attorney, you don't have to reply from your end).