Being in a system with a Hiring Hall makes a huge difference in generating contracts. Just being in the Terran Corridor/Sarna March region in easy jumping distance of multiple realms isn't going to give lots of contracts as that's not how the lore works/system is built - people looking to do the hiring aren't looking at whatever random unit is passing through a given system, they're in offices on Galatea, Outreach (starting around 3032 or so), Solaris VII, and some of the other systems (these are all highlighted on the map). MekHQ doesn't really have the concept of a separate 'home base' where a unit would have administrative offices regardless of where the combat portion is located, so it assumes everything packs up and goes with you. So getting contracts on the regular usually requires returning to one of those Hiring Hall systems.
As it looks like you're working with the older Field Manual: Mercenaries (Revised) rating system, I would recommend reading the contract generation system from that book to get an idea of how the base contracts are generated. The MekHQ contract generation system while using that rating system is basically lifted straight from that.