So almost quasi-isotropic but the asymmetry makes that questionable.
You should be able to predict initial failure and fiber failure passably accurately (it depends a lot on what material strength data is available). Simple (and therefore inaccurate) estimates can be made of the laminate stiffness after resin failure just by removing the resin-dominated properties and observing the predicted extension. When a fiber failure occurs stiffness will drop markedly and strength will drop a similar amount. In practice with one third 0° plies laminate failure will follow the first fiber failure almost instantaneously.
Modeling laminate behavior after failures is questionable with a simple solver. Nastran's more sophisticated solution sequences might help but usually, even for uniaxial loading as you describe, something more like explicit analysis would be in order.
For uniaxial tension in line with the cylinder axis failure will be predicted all around the circumference. In practice it will occur at one position, depending a lot on things like porosity, and then spread. That will be essentially unpredictable, even with very sophisticated analysis.
Usually the cylinder ends will cause failure near the start of curvature. This will at least localize failure along the tube.
Any damage will help isolate failure position but will also complicate matters considerably. Modeling damage is very hard unless it's a simple hole or similar.
It depends what the post-initial failure analysis is for. Anything other simple predictions is questionable in my opinion and even those simple predictions are subject to considerable uncertainty.
Note that even with material failure data for the laminate, failure will be subject to considerable statistical variation. You can predict with confidence when it won't break but exactly when it will is hard!