I think that your suggestion of a narrow cream border and then the brown for the binding sounds best - or cream border and the same batik for the binding if you have any left.

I quite like 7682

My bedroom window has even less wall on one side - the adjacent wall goes straight to the window.  I have a standard pair of curtains on a track - which touches the ajacent wall one end and extends past the window by several inches on the other end and it looks OK.

I see that you have a cupboard door on the problem side, so presumably you need to get into that so maybe one large asymetrical curtain would be the solution.  Make it floor length and with plenty of width so that when it's hooked open there is enough fabric to drape nicely.

Is it high or low shank please?

It's on a SInger 201 so it's low shank.

I don't quite like how scuba touches my skin so I probably avoid using it for a sleeve.

One of my first attempts at bra making was with a kit from Merckwaerdigh which included a type of scuba fabric with a layer of foam sandwiched between fine knit and I couldn't wear it; not because of the fit but because the fabric made me itchy 

I agree with Lowena that hexagons are usually done by hand - and the usual way is to use paper templates.  I've never heard of using stabiliser, though I suppose you could use stabiliser instead of paper templates and then just leave it there.

If you are thinking of doing machine patchwork then a quilting ruler together with a rotary cutter and self healing mat are the basics.  The most useful size ruler is 24" x 6" because it's long enough to go right across a fat quarter or a length of fabric (folded in half) cut from the bolt, but of course you need to have a cutting mat long enough to use the full length of the ruler.  Other shape/sizes of ruler can be added as and when. 

The plastic hexi template you mentioned is probably intended more for use in drawing paper and fabric hexagons which are then cut with scissors.

To be pedantic, the original question was about quilting tools and all the replies have been about patchwork tools!  For quilting you need a needle and thread or a sewing machine.

If you do machine quilting a walking foot is a useful extra for quilting in straight lines.  For free motion quilting you need an embroidery/darning foot.  For hand quilting you might like to acquire a few plastic templates which you can draw the designs through onto your fabric.

Between making the patchwork and doing the quilting you need to make your "sandwich" which consists of patchwork top, a layer of wadding (batting) and the backing.  To hold the sandwich together you need either needle and thread, a box or three of curved quilting safety pins, or a can of 505 adhesive.

The last time I lost a small pattern piece it reappeared several days later under the bed.  For some reason I was cutting out on the floor of the spare bedroom overflow work room which houses a single bed with another bed underneath which are used if grandchildren sleep over.  The next time the second bed was pulled out the pattern piece came with it.  When I compared it to the self-drafted replacement piece the two were remarkably similar