Re-establishing relationships with people I networked with to get try to get SA offer from, but didn't get?

I'm a rising senior doing a SA stint at a midsize AM, and I'm starting to network again for the full-time job hunt. I did a lot of networking with people at larger AMs(which are my target), and a fair amount of them liked me, enough to refer me to get interviews, but I didn't end up getting offers from a lot of them. I haven't spoken to those people since late last year-ish, say Oct.-December. How do I re-establish contact? And would it be worth trying to, vs. just cold emailing/networking with other people who I had not spoken to in the past?

It would be a fairly blatant push to get an interview for FT, which is what I want, but obviously not exactly the impression I want to give off.

In addition - what are people looking for in a student pitch sent to them? I have a very fleshed out and good pitch, with model and supplements, but it's almost a year old at this point. I have ideas kicking around that I think I could make solid 2-pagers for, but they wouldn't showcase my ability as much, I think. Thoughts?