You are overloading the circuit, and the breaker is dead because you have been running 14 amps on it for long periods of time.
Branch circuit breakers should only be loaded up to 80%. I assume this circuit is on a 15amp breaker so you should be trying to load it up to 12 amps. Your 1000w is going to pull 9 amps and the 600 will pull 5 amps. Running these two lights is putting you over the 80% derating, however, at 14 amps, it is probably just on the line of making the breaker trip, but it will get warmer than it is intended to and cause it to failsafe (stop working) eventually. As soon as you plug the vacuum in, you are pulling over 15 amps so it is definitely going to trip within a short order of time.
It's not going to look suspicious if you want to hire someone to replace the breaker, trust me, happens all the time.
It's easy to replace yourself, though. Will cost you much less.
Replace the breaker with the exact same model. You can't upsize it unless you upsize your wire as well.
This is very easy to do, most are push-on and worst case, it's a bolt on in which case you only need to tighten 2 screws.
TURN THE POWER TO THE ENTIRE PANEL OFF, it should have a MAIN breaker. This will allow you to touch anything in the panel, except for the wires going to the main breaker, without the possibility of being electrocuted. IMPORTANT - turning the main breaker off will kill power to the buss bars and all the branch circuit breakers in the panel, but it will not kill the power to the wires feeding the main breaker in the panel. They will still be live, and are the largest ones, at the top or bottom of the panel. usually are quite well protected from fingers slipping onto them. Just keep your hands and the panel cover away from those larger feeders. You really have to try in most panels with main breakers to touch them, as they have plastic guards, but it's important to understand that part of the panel is still live. It's the most dangerous part of the panel, in fact.
Take the cover(s) off the panel. Usually 4 screws hold an outside trim cover, then 4 more screws hold a buss bar/breaker cover. Some brands it is all one piece.
Take the old breaker out by pulling on one side, the side towards the middle of the panel, not the side the wire connects to it. You'd have to try hard to damage the panel so don't be afraid to use a little force if the breaker doesn't pop out easily. Square D and FPE panels are usually stubborn. Siemens are easier.
Disconnect the wire from the old breaker, connect it to the new breaker. Tug to make sure tight connection. Make sure only the copper is touching the screw that tightens onto the wire, you don't want any of the insulation touching the screw on the breaker.
Pop the new breaker back in. Seat the side the wire connects to first, and then push the opposite side onto the metal buss bars (you'll see the slot on the breaker where it slides in).
Don't plug the vacuum into that circuit again (make note of all the plugs without power now, that is all one circuit and shouldn;t be used to power anything else if your lights are on.)
You should really be running those lights on either a 20amp breaker with #12 wire, or split them between two 15 amp circuits, heck bring an extention cord in from another room if you need to, then with either of those 2 options you will most likely be able to run the vacuum on any circuit you want.
