Ok.... I'd like to make a nice complete post.... but I can't since you didn't answer all the questions... namely your tax%.
Here's what I'd say though.... You should be able to negotiate the sell price of the car more. At minimum $1000 below invoice. so look for capitalized lease cost of no more than $30,400. The lower you can get the dealer on the sell price of the vehicle the better you are.
Residual seems very generous (~52%). Yes, it's only 10k miles per year, but it is a 39 month term. When I looked into leasing a Laredo X 36 month with a ton of miles (15k or more) it seemed like no one would go above 48%. So residual looks good.
I would not put any money into cap cost reduction (extra down payment). Just see what your monthly payment would be if you only pay 1st month, title, license.
Here's what I think a decent lease on this Jeep would be. (with assumptions)
Sell Price: $30k
Money Factor: .00046 (1.1% interest) (assumed)
39 month term at 10k miles per year. (make sure it's 10k miles per year and not 30,000 miles total for the lease term)
Tax: 9% (assumed)
Cost: $351 per month plus $31.59 tax = $382.59
I would have a hard time paying more than that for the Laredo E.
Always ask for more stuff. What are they going to say? No? or Yes?
EDIT: Actually I'd probably try to get under $30k purchase price since the vehicle is already on the lot.