Yes!
Combined wastes:
You are "supposed" to take each waste line back to the stack individually, which avoids your problems. But in the real world you don't always have that option.
There are 3 problems - you may have more than one.
1) The water comes back up the "wrong" pipe before it gets to the stack and out. This you alleviate by connecting as near to the stack as you can, and have good gradients (drops are good) on your pipes, If you have to, fit a non return valve, though that could give you a maintenace problem - they block with hair from showers.
2) the plug of water from say the basin pushes air in front of it. The STACK is vented so it wouldn't matter if it went there, but in long runs it can push back up through water traps on other fittings, and you smell it. No real fix for that one, but using big pipes helps a lot. Plugs of water are less likely, and there's a lot more air to squash so the pressure increase is less. You should have used 2", say.
3) the plug of water can suck the water out of a trap on any waste connected, as it passed the tee point. That one is easy to fix - put (an) air admittance valve(s) in the system. These can be pipe fittings or incorporated into traps. The basin trap is a convenient place to have one usually.
There are traps with air admittance valves and "anti syphon" traps, which are made so that air can pass without emptying the water from the trap to the point where it no longer "seals". They make a lot of noise and let air UP the pipe more easily - I'd advise the AA type. (they have a small cylindrical addition on the exit pipe)