Currently, Loyalty Points are tied to single agents.
I know for sure that initiating a conversation with one of your agents shows how many LPs you have with that agent.
Not ingame to check, but I bet you could just do a "show info" on an agent, and find that information as well.
You can get decent offers at well below 200k LP, btw. At about 10k you start to get offers for +2 Implants. At 15k, +3 Implants. Also, some spaceship offers if you supply a tonne of listed materials. (Higher LP offers may be for the same ship, but without gathering materials)