Reading between the lines he was already a militiaman in the 5th Militia Battalion The Manchester Regiment (not strictly a volunteer - google Militia), when he enlisted in the Regular Army in 1902.
From the stations you have listed he started off in the UK training probably at the Barracks, Ashton under Lyne.
On 8.1.1903 he joined the 3rd Bn. in S. Africa who arrived there from St. Helana, although he would have travelled direct from the UK to meet them in S. Africa. They served in Capetown.
He then appears to have transferred to the 1st Bn. arriving in Singapore to join them on 4.2.1904 and then later in the year with the 1st Bn to India , namely Sitapur then Sucunderabad and then Kamptee.
In 1910 He had done his 8 years and returned home, serving 4 years in the Reserve. This meat he was a civilian, not in the army, but liable to recall in time of war.
His Reserve Time expired prior to WW1 so he wouldnt have been called up, but was able to volunteer if he wished.
I would imagine he did have WW1 service.
Home means the UK including Ireland.