Help with General Upkeep of plant what should we cut off?

[smileychopsuk]

Hi, could I have some help please.

I am going to attempt to repot this.

My questions

The old hard stem from last year shown brown we cut off, can this now be cut off nearer so it is tidier.

Why are the shoots so dried like they are dying, and yet some have little green tips, do I just leave these on.

What should I being doing with this plant pls.

One leaf has a little yellow mark in the middle as though it has got burnt.

Its a lovely plant and belonged to my 102 year old grandmother who died, flowers every year, but is there things we should be doing.

I did get a book, but it was not much help.

Thank you