lasers/energy weapons
to my mind the problem with lasers is the target won't be where your sensors say it was and if the ship is moving very fast and jinking then the cone it could be in will be huge so I don't see one laser hitting a target like that being very likely.
I disagree. While the lunar laser distance experiments are I believe (and I think Aramis agrees) of little or no probative value here, and we can only guess about the actual trajectory of computing power (

) as well as the actual effects of such, physics will still be physics.
Well, when you think about acceleration/size, and the relative distances involved it is physically feasible.
At the maximum range in CT for starship combat, 2 light seconds, IIRC, it takes the image 2 seconds to get there, and the laser 2 seconds to get back. If we assume 1 seconds for the computer to process the image and execute a firing solution, the shot takes 5 seconds. Without considering the recharge time, if any, there could be one shot every 5 seconds. In a 1000 second turn, thus up to 200 shots are conceivable.
If we have a 100 meter starship, which at 1G can only change its vector a maximum of 50 m/s (and thus change its relative position 125 m) in that time-frame, it is certainly feasible that one of those 200 shots will hit it.
A more realistic example is the Kinunir, at about 80 m long, and about 40 m wide, going out at 4G (I forget its agility, but we will assume it is 4). At its maximum profile, then, it presents a cross-section of 3,200 m^2. At its maximum acceleration, simplistically, it could change its relative position by 500 m, which would be greatest from the perspective of the shooter when in the plane at right angles to the gun-target line. Thus, the target's profile would be, from the shooter's perspective, somewhere within this 250,000*pi m^2 area. I get 245 shots to cover the whole area.
This is, of course, simplistic: smaller cross-section (and less movement relative from the shooter's perspective) at different aspects. It costs time, thus acceleration, to flip the ship, so the "circle" would be more elliptical.
Make it an AHL, with comparable acceleration, and a much huger cross-section, the equation becomes more favorable. Rampart, almost impossible without varying assumptions (less powerful shots in groups?). Shorten the range, and everything becomes easier, of course. What will recharge time, and actual computing power do? Well, we can only guess. The point is, it is physically feasible to achieve a hit, given what we know, and assuming favorable enough outcomes for what we cannot predict.
missiles
for the reasons mentioned above i have a hard time picturing standard traveller missiles as anything other than short range because of the fuel requirement against an evading target.
I actually think this is easier. Power to get to the target, and while in proximity of the target, with much higher acceleration, the missile is much more maneuverable. The "corrections" are minimal until in very close proximity.
Our fighters could out-maneuver identified SAMs in Vietnam because although the missiles had higher acceleration, and speed, they had less ability to pull lateral-G's to change direction, because of much smaller control surfaces. In vacuum, it's all thrusters (and gimballed drives, presumably) to spin, and drives to shift laterally. The higher-G motor, with a quicker "spin" from thrusters and lower turning moment, will be more maneuverable. At the last moments, a ship's possible maneuvers become limited by its attitude, rotational velocity, and maneuver capability. I say the missile's got a very good shot, at least from the point of view of what's physically feasible.