Fiat Tipo goes out and can’t start anymore…

Hello, I bought a Fiat Tipo as a second car only to drive to work. The car was built in 1989 and a Fiat Tipo (160) with 51kw. At first he ran without problems, but then he started sometimes not to jump anymore. However, only when he was warm. So morning or after a long standing he always jumped, but when I drove e.g. to the bench and wanted to leave there 5 minutes later he did not jump any more. Then after a few attempts and some rest he jumped then always irge Then he just went out, preferably in the middle of intersections or at other impossible places and then was just not to start. If you had waited a while then he went to start again. We changed the ignition coil, but that didn’t fix the problem. In addition, I noticed that it started to light up weakly during the ride and on the battery light, mostly whenever I kept the clutch kicked. The battery is completely new! In the meantime, the battery light is permanently lit. Can someone help me what these two problems could cause?? Driving the car into the workshop and having everything possible replaced would not be worth it any more.