did lyanna love rhaegar
I think she did love Rhaegar. Lyanna is not Sansa so she is unlikely to have fallen for Robert because he was this handsome rich lord the way Sansa did for Joffrey. She saw that beneath the handsome exterior Robert would not be a loving faithful husband. He would make a good friend but a terrible husband and father.
However, the Targaryen tradition sees Rhaegar acting out of true love for Lyanna. By the time Lyanna was found by her brother, Eddard, she was being kept in the Tower of Joy in Dorne where, on Rhaegar's command, she was guarded by three knights of the Kingsguard.