It sounds as if you've got it pretty much together. You're already familiar with DIY and it appears you've done your homework.
I would suggest a couple of things; First, to accomplish a professional looking finish I would deffinitely suggest trimming the bottoms of the door frames for a fitted look. This isn't particularly difficult. One of those tools that's always useful but especially in this case is a Japanese
Ryoba hand saw, such as seen here:
http://www.garrettwade.com/jump.jsp?lGen=cross Sell&itemID=105165&itemType=PRODUCT&iProductID =105165 ... the usefullness of the saw cannot be overstated. The fact that the cut is on the pull rather than the push is ideal for your job. Simply lay a scrap piece of the laminate against the bottom of the wood frame and facing and scribe a line for the correct thickness and cut it with the saw. You'll be pleased with the finished look.
I've just finished with laying a fairly large room and hallway with 3/4 inch hardwood in our ranch house here in the western U.S. and I would have preferred laminate or engineered but found a product that I liked in the real oak hardwood. I also found that no matter how new or well cared for the subflooring is there will always be some unconformity. That's the reason for laying the joint line parralell with the window light source. Any imperfections will be magnified if the seams run perpindicular.
Finally, I try to lay the first course along the longest, straightest wall I can find. I pull off the mop board (I think ya'll call it the skirting board) and lay the laminate with the trim boards back on top (but not tightly) of the laminate rather than butting the flooring against the skirting. Again, to me it looks more finished that a quarter round... I'm sure you'll do well... Best of luck!