Reg number is in the description
oh yes

nothing scary there

and LPG cert is 10 years IIRC

,so good till 2024
but it says it's on the register on ebay ,but not on the website register ,maybe it's had a private plate on in the past ,hence the blanked out reg plates

easy enough to resolve
If by 'other issues' you mean the five weeks remaining MoT and 190k miles, then no, nothing else of concern...
an MOT is £40-£55
190K is not an Issue either,unless the engine is tired ,lacking ,smoking,loosing fluids
so it's down to the cost of a used fuel pump £30
and assessing what work needs doing for the MOT ,tyres,exhaust, :-\suspension (you replaced that last MOT IIRC)
but you know all that
I think you just want something like this
chances are the actual pump(not the assembly) is a common affordable part. Like you can replace an Omega one for about £30 for a new pump and some disassembly.
yes, I've done that in the past on in tank pumps ,just replaced the actual pump ,not the £££££ complete assembly