Nice idea, couple of things that could be improved:
First of all, the weight statistic of an item is calculated using a formula and involves all of the item's stats. It's not just created out of nowhere.
Second, these weapons are way too underpowered. They both have negligible damage and 50 heat gen/energy drain is really not that much. The cooling/regen damage bonus is nice but doesn't make up for the other stats. I'd suggest giving them higher cooling/regen damage and maybe some max heat/energy damage as well.
Hope this helps.
