OK, know all those samples you been dying to get rid of? Time to put them to use. Go to Alpha Centauri sector/Block, go to Memory Alpha. Beam down. (Might be wise if you check all your contacts for the Meet with "Eggin" -spelling?- mission, He opens the meet with Romaine/Deliver Samples mission in "MA". )
Sol doesn't just have Mk I & II they have all the higher level gear too. You need to go upstairs at the shipyard. You can turn in all your exploration badges for good gear there. Or as said before K7 for pvp badges.