Yes all the bits will fit, the problem with the 044(group a) pump is it just has a plain end to which you have to put the inlet stub as in your picture, from tank as they don't have these as std.
The only other thing you will have to do is chop the ends of the pump wires off and fit a ring terminal on each wire to go over studded connection, just use a couple of red ring terminals, plus nuts/washers to hold, then protect with coppaslip to keep out moisture.
Apart from that all good to go, might be easier to just take off the cradle from car, only 2 X 13mm nuts, then can do it all on bench, I would do one bit at a time, in case you forget which way it goes, not that I've ever done that of course!!
tabetha