The busses board directly behind the station in Santa Barbara. It should be an easy connection.The Surfliners should begin running as far as Santa Barbara on February 8th. Service north, including the SLO Surfliners and the Starlight will resume on February 28th.
I don't have any suggestions on motels in Solvang. They all tend to be pretty pricey, especially on weekends.
If you are taking the Surfliner on a Holiday weekend I'd suggest springing for Business Class. They are very crowded and you might not, depending on where you board, get a seat. Business Class guarantees you a reserved seat.
Frank in SBA