First vote for the 'on the rise' meaning. My experience with this is similar to the Californian wife in the report; I didn't even *know the other meaning.!! (scratching head bemusedly)somebody had better post quickly in agreement with this; am feeling mighty strange already what with being rather alone in imagining dead pirates, killed by falling coconut trees and all.
As for the others:
Heartburn - anxious/stressful

deceptively shallow - oh! *definitely to mean, that the pool is deeper than you suppose.

Nice read, AnnaS. Thanks

Edit:
One quick note on Heartburn. This one is an old friend from the days that I used to read almost everything that came out of the stable of Indian authors writing in English. I believe it was Midnight's Children that first prompted it (I could be wrong here) but heartburn is used frquently by this group to indicate jealous sentiment. I later found out that this was an almost literal translation from the Hindi/Urdu. It might have an entry in Hobson-Jobson.