Hello. I just ran into a Wrath Lance post for the first time in my current game. It was causing me real problems but I found a tip on the forums here - use an armoured warhead. You can build on your planet two hops away, you control the intervening Mark IV so building it and getting it there should be no problem. They are so tough they will survive numerous "caresses" of the Wrath Lance and lots of small fire. A mark I was sufficient to blow away the Lance post then the rest should fall reasonably easily. You have a lot of ships unlocked so a large fleet.
More generally - I did notice you have a large number of fleet and star ships unlocked (maybe 8 to Mark IV?), but virtually no turrets, and you have only one Mark V turret fab. A few more marks of basic turrets (Missile, Laser, Needler etc, plus Grav & Tractor) will help you to hold more of the spread-out planets you hold at least against standard waves. This will save you time shuttling your fleet around to defend and reclaim. With a large map you can even set up beach-heads on hostile planets to keep key routes between worm-holes clear.