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"If we insist on using Greek" Why would we insist on using Greek? Are you asking for a well-known and well-defined term or an obscure creation you think will make you sound smarter?
I'd certainly expect the "a" there. Regardless of whether it was for the session or the course, "class" is singular and so requires something there. You could say "your university class" if you really insist on not using "a."
I feel like imminent has the connotation that you don't know exactly when it's going to occur, just at some point in the near future. Also a somewhat negative connotation.
I slightly disagree with @WS2, the top one sounds wrong to me. "Ago" means in the past, which doesn't fit with the present "is." Maybe it's more accepted in BrE. Sounds somewhat better if you put a "now" in there, "It is not too long ago now that…" but I'd still recommend just using "was."
A motivated us. To do what depends on context, and possibly A. "Motivated by greed, we outline our proposal to found this startup." Greed motivated us to found the startup, and the outline is just a means to an end. "Motivated by a desire for detailed planning, we outline our proposal to found this startup." We were planning to found the startup, and being detail-oriented motivated us to write up this outline rather than shooting from the hip.
