Hi Robbie, I’ve had 2 hip replacements in the last 26 months and everything you mentioned seems perfectly normal to me. Listen to your new hip and when it’s sore back off, but long walks are certainly the way forward.
You will be back jogging soon enough, be patient you’ll get there. I’m back running 10 miles a week now, which I think is decent for 14 months out from my last THR.