Ticks themselves don't cause any pain, I can tell you this from personal experience having had ticks on me, you don't even know they are there except by chance or if they are crawling
Tick borne diseases such as Lyme disease can cause painful joints. (there can be quite a time lag between a tick bite and the development of symptons) However I would imagine that Woofies limp is from the slip, and he was unaware of the tick, just didn't want his leg gone over again.
Hope he's feeling better soon, you could probably continue the metacam for a couple of days