Kicking is a natural response because the feeling of getting picked up can simulate a predator grabbing them. When you pick her up dose she kick immediately or is there a delay? if its the latter you could try and quickly place your hand underneaths the feel and support her as you pick her up...
Welcome to RO. Soft pellets are normal actually. As long as there not a lot of it that the hard, orderless pellets. If she's had a diet change recently then that would explain any excessive amounts of soft pellets as her system is adjusting to new food. Any other chase would be cause for...
Best thing to do is to keep the new rabbit quarantined until he's accumulated to the other pet. Start by choosing a "neutral" area. Place where the pets aren't usually allowed to go and then while the new rabbit is in it's cage, bring the animal in one at a time and see how they interact...
Thanks, I've been taking countless pics of him with my I-phone. Need to use movie feature and take it when he's in one of his more rambunctious mood :)