Thanks everyone for the suggestions.
Coolant issue: When I checked the level on Sunday, I thought it was at the 'L' level. I hadn't driven the car for about 24 hours at that time. I checked the level again the next night (after driving about 10 miles) when the level had risen to a comfortable level, 1/4th below the 'F line. When I checked it the following morning, it was about the midpoint between 'L' and 'F.
Perhaps, the water portion had separated out (when the car was not driven for quite a while) and I checked only the red color mark on Sunday?
Anyway, I'll check the level again next time I don't drive it for a day. Also, as suggested, I'll add dist. water to make up if needed.
Turn signal assembly issue: I wanted to give it one last try the next night. This time I gave a little force (with only my palm) by tapping the lens from the rear end towards the front. After a few hard taps, it came out. After cleaning the contacts, it seems to be working :)
I'll try the plastic tie wrap the next time, which I'm eagerly waiting to show up again.