What would you propose for return offenders? I would think that the penalties should not be linear here. Make it $20k the 2nd time, $40k the 3rd, $80k the 4th....
Maybe deduct the cost of Medical for the illegals already here too.
As far as the health and welfare issues, denying someone benefits they pay for through taxation may have Consitutional problems. At the very least, we recoup some of the costs. I also do not support allowing them to bring all their family members over, unless they can sign some kind of contract that prohibits the use of the public dole. Once they become a citizen, it's a different story (immediate family only), but by then they will have a gainful employment history and hopefully be able to support them.
I also believe assistance should be tied to contributions to the SS and tax system. As you contribute, you gain "credits" that can be used for temporary welfare, unemployment insurance or SS retirement. That would eliminate the "retired" moving here and immediately taking advantage of SS benefits. Of course, a private pension system would do the trick too, but we will always have the socialists crying about those who dropped through the safety net. A combination of both might do the trick.