The ticket points are what was your loyalty points from last season. The way you get the points is unchanged from last season.
The citizen points is like a store reward card, you get points for buying at the store, interacting with the club like clicking on emails, liking Facebook posts, using the hashtag #mcfc or #together, I think you get points for match day tickets too. These points can then be used for things. For example I have used them to buy 10 raffle tickets to have a picture with the 1st team. I have also put some points towards 25% off in store. With that 25% off I'm going to get the away shirt for £41.25 once I get paid.