It would be much easier to re-laminate it out of the trailer. You won't have to be so careful brushing on the contact cement, you'll have plenty of ventilation and you will be able run the router with a Flush Edge bit around it to get factory finishes. Laminates can be applied using a razor knife to rough trim and a file to smooth the edges but a router or a power laminate trimmer makes quick and slick edges. Be sure to wear eye, hearing protection and at least a paper resperator if power trimming, as it really kicks up a plastic dust residue. You can also use it to cut out the sink hole in seconds. A powered laminate trimmer can be rented at most any good tool rental store for a few dollars a day. If you have everything rough cut ahead of time, the trimming can be done in about an hour. Also while having the counter out, you can put the sink and that new faucet that would really look good on before you set the counter back into place. Then all you have to do is reconnect the supply lines and the sinks drain trap back together saving your back and knuckles.
You will also appreciate the room to work around it when you go to mate the two surfaces that will have the contact cement applied on them together. On the side edges this is no big deal but, when you go to apply the top surface you will really be glad you removed it. With contact cement you only get one chance to get it right. The surfaces bond instantly when they touch
If you have never done this before, have a supply of dowel rods or other small strips of wood that measure a little longer than the width of the counter top handy. Lay them across the top of the old surface every couple of inches, before you lay the new piece on top. Precut the new laminate with about an inch of over hang on all four sides. Don't try to precut the new piece exactly to fit. Lay the new laminate on top of the dowel rods, line every thing up and remove the dowel rods one at a time pressing the laminate on to the contacting surface. If you don't have a laminate roller, a 2 X 4 and a mallet can be use to press, not beat, the laminate surfaces together.
Don't forget to do the backsplash. This really makes it a professional looking job.
This is a fun project and will make your galley that much more personalized.
-"You want to make it two inches - or, if you're working in centimeters, make sure it's enough centimeters for two inches."-Red Green