The Land Registry Search is against the property you are buying , the search will show the registered owner and the name and address of any mortgagee who has a charge over the property.(posted 7893 days ago)The Land Charges Search at £2 per name is to check that the owners of the property have not had a bankruptcy petition presented against them.
You will not get found out about your repo 6.5 years ago through these two searches which relate to the property you are buying, but it is possible that when the prospective mortgagees do a credit reference search and/or a repossession register search, you may well be scuppered as these two do research your name and some other personal details.