Hi danny22, don't despair, I think you've got a good chance of saving your plants if there's new growth on them. Jasmines can regrow easily from the base and also re-root easily by layering. A botanical plant name and photo would help me to advise you and also an idea of your location in the world. You can send a photo of your jasmine to me if you wish at
You can carefully cut out and remove any dead growth (check the growths not green underneath the bark first) Try not to kill it with kindness ie overwatering. And depending on where you live full sun may be too much for it. Partial or dappled shade in a sheltered position from strong or drying winds. We also need to check that your jasmine has not got the dreaded vine weevil. What have you potted it in with? Have you checked the roots of the plant?