OP if it helps both my dc, and they are grown up now, had repeated ear infections as babies. 11 for one, 8 for the other. It was unspeakably horrid. They had antibiotic course after antibiotic. At that time we were advised antibiotics every time. When an ear infection started on a Friday night the only option was to get abs from A&E. We tried everything, including a low dose ab for six weeks to try and clear it.
Generally the gp was dismissive and refused an NHS referral to ENT or grommets as both dc had well developed speech.
Privately we asked for an ENT referral. DC were grommeted at 15 and 20 months respectively. Once that was done the ear infections stopped.
At about 9 DS had another ear infection and the GP wasn't remotely interested despite the leaking yellow fluid for days. Went back a few times.
The next time this happened he was in Austria. There the standard is urgent review by GP, immediate referral to ENT where he was examined, the ear was toiletted and he was given ABs.
When he got home we went to the GP. Not remotely interested. Had him referred privately. The ear- drum was healing at an angle because ds had an inherited condition called choleastaysis (might be wrong) that caused excess bone to form in the inner ear - eventually this gets worse and worse so hearing is lost (DS's great grandad, paternal was stone deaf by the age of 30). A grommet was required to ensure the drum healed straight. If it hadn't been sorted much more serious surgery would have been required.
I think I said NHS GP wasn't interested and refused to refer on NHS.
OP I would suggest you insist on an ENT referral and if this is refused you may have to pay for it.
Both DC recovered as soon as they had grommets.