Yes NHL 3.5 will be fine for that. Mix it 2 or 2.5 parts sharp sand to 1 part lime.
Clean off all loose material and damp the wall before pointing, make sure the shine has gone off after wetting the stones.
Ideally cut out the cement. If you are repointing the whole wall, you need a couple of centimetres minimum joint depth. Don’t be surprised if under the mortar you find what looks like mud, it is very common to find buildings of that age built in clay and pointed in lime, as lime was expensive. Clay is great but needs to be pointed.
Once pointed up cover it so it doesn’t dry out-lime needs to be damp to cure. You will need to scrape the top 1 or 2mm off the surface as part of the curing process. Do this after a couple of days but if the mortar is sticking to your scraper, leave it longer until the scrapings fall to the ground.
Tradiblanc mentioned above is a good product but far to hard for internal pointing. It’s for chimney work or exposed locations such as haunching or harbours
You can get everything you need from mason’s mortar. I’d recommend you get a small tool and scraper, use either st astier or Otterbein NHL 3.5
Any questions feel free to ask