Parker-Hale made Enfield-marked rifles and carbines, not Tower. Tower-assembled military arms predated the setting up of the mass-production facilities at Enfield Lock, just outside London. If is is marked Tower, then it is not an 'Enfield' anything - it is a Pattern of 1853 musket or rifled musket.
An orginal P53 muzzle-loading Tower or Enfield musket/rifled musket is classed as an antique - no form of documentation or firearms certificate is needed.
However, IF you want to shoot it, you must -
1. Be a full member of a gun club of the kind that shoots this style of gun.
2. Have a Firearms Certificate on which it is registered.
To have 2. you must be a full member of 1.
All modern live-firing replicas of rifled muzzleloading firearms are classed as Section 1 firearms, and you'll need an FAC to acquire and possess one. Point 1. refers.
All modern live-firing replicas of smooth-bore muzzleloading muskets/blunderbusses et al with barrels longer than 24" [?] are classed as shotguns, and require a Shotgun Certificate [SGC]. All re-enactors like members of the Sealed Knot and so on, have SGCs, even though all they fire are blanks. Shorter barrelled modern-replicas items, like any handguns or miniature cannon, require a Section 1 FAC.
tac