The pictures in the OP appear to be of damage to the coating due to water droplets left on the lens. Water can damage some coatings if left on the lens for a long time. Much as I hate to agree with anyone from Katy :-), isopropyl alcohol is the best solution to clean lenses using a lens tissue paper and then wiping with a clean microfiber cloth. If there is dust or grime on the lens, a little bulb blower thing is a great thing to use first to remove the stuff.
Now, don't panic and be afraid of rain or water or anything. Just don't put away the riflescope wet.
