You are correct with your first response.
I wasn't at Saturday's game, only seen the limited highlights but:
Regarding the keeper, he didn't Deny an Obvious Goal Scoring Opportunity (DOGSO) because we scored therefore not a red card offence. Could have been interpreted as 'unsporting behaviour' and cautioned but the official on the day obviously didn't.
If a keeper slides out of the area still in control of the ball with his hands the official would need to interpret the intention, the overall impact (DOGSO etc..) and the offence location etc. before deciding what sanction would be administered (if any) above a Direct Free Kick (DFK).
In answer to a previous question: if an offence is committed that would warrant the award of a red card the referee would normally stop play and send off the player and restart as appropriate. Easy if DOGSO, however there may be an opportunity to play a good advantage and award at the next stoppage. Officials are loathe to do this because if the ball doesn't go dead for a number of subsequent phases of play and the player who should have been dismissed is involved in a game changing situation (goal etc..) it would not look particularly good. Similar to someone who has committed a second cautionable offence, the official will invariably stop play instead of playing advantage and cautioning later as he would for a first offence.
Hope that helps?