All hosting anemones are at least somewhat sticky to the touch much like the "stickiness of scotch tape. It is a good sign of a healthy anemone as well as a tightly closed mouth and vibrant color.. As it gets larger it should gain in defenses and shouldn't really be a problem.
The light sounds good but I would suggest eeking up the SG
closer to 1.025 over a week or so. Nothing too fast or you'll shock the tank. Sensitive inverts do much better in higher more natural salinities and temps closer to 80°.
is basically correct that the anemone would be fine for the most part but if constantly bothered, it may start to wander which could cause problems. For now I wouldn't worry though.