The interval training, especially at high intensity, is probably going to increase your speed effectively. (Google Fartlek method for tons of info). Doing anything that challenges you further will also make you ultimately faster (increase the incline, and when you go back to flat, you will be able to go faster/ run just a tiny bit faster at each run, or each week, and you will obviously be faster/ try tempo running: run "slow" a couple minutes, "fast" for one or two minutes, rinse and repeat - apparently this is VERY effective.
Or you can run 5K at whatever speed you do (have you actually done a full 5K yet? you don't say.) Note the speed and aim to increase it a tiny bit each run or each week.
you could also try increasing your walking speed as a general rule, even when you are not at the gym. Try walking at 4-4.5mph on the treadmill so you can adopt that pace walking day-to-day. Nine weeks isn't much time to increase stamina so don't try to rush it, but a brisk walk every day will do lots for your heart and lungs. You don't need to increase the incline if you build up stamina with greater walking speed and that will make it easier to run faster.
Content on HealthUnlocked does not replace the relationship between you and doctors or other healthcare professionals nor the advice you receive from them.
Never delay seeking advice or dialling emergency services because of something that you have read on HealthUnlocked.