I would get my ATPL (1500 hours etc) on an airline type aircraft, eg if with Ryanair, a B737. What do they use the Lear for? Crew transport or VVIP transport? If it's only crew transport, you may as well fly the B737 and amass the hours.
However, I am not in recruitment.
BTW - we no longer use the term soft skills. It's now known as non-techs or no-techs. (technical).
Good luck with emailing the various companies, but as I have said in earlier posts, you may not hear from them as they are really busy people.
Really, for now, focus on your studies. You've got enough to do.
