Calisthenic exercises are great since you can do them anywhere and anytime, and when doing body weight exercises properly, you can get great results. Look at many gymnasts.
According to your description above, you considered yourself as a beginner fitness level, meaning you probably haven't worked out consistenlty for a long time (correct me if I'm wrong). If this was the case, then I think it's a good idea to start on a light and low level of some sort of a high intensity interval training exercise program. High intensity interval training can be difficult at first, but it is a great way to get the most out of the least amount of time.
Here is a sample of a high intensity interval training calisthenic exercise program for beginners:
Weeks 1-2 (3 days per week with one day of rest in between)
1. Squat (lower body)
2. Knee Push-up (upper body)
3. Plank (abs and core)
4. Mountain Climber (fat burning)
5. High Knee Sprint (cardio)
For weeks 1-2, try performing each exercise for 20 seconds continuously (perform the Squat for 20 seconds, then move on to the Knee Push-up, and so on until you finish with High Knee Sprint), then rest 60-90 seconds at the end. This will be one cycle. Repeat 2-3 more cycles.
Weeks 3-4 (4 days per week with 2 on, 1 off, then 2 on)
1. Side to Side Squat
2. Push-up
3. Inchworm
4. Mountain Climber
5. High Knee Sprint
For weeks 3-4, try performing each exercise for 30 seconds continuously, then rest 60-90 seconds at the end. This will be one cycle. Repeat 2-3 more cycles.
Weeks 5-6 (5 days per week with 2 on, 1 off, then 3 on)
1. Squat Jump
2. Knee Gator Push-up
3. Side Planks (both sides)
4. High Knee Sprint
For weeks 5-6, try performing each exercise for 30 seconds continuously, then rest 60-90 seconds at the end. This will be one cycle. Repeat 2-3 more cycles.
Weeks 7-8 (6 days per week with 3 on, 1 off, then 3 on)
1. Squat Jump
2. Gator Push-up
3. Plank
4. Side Planks (both sides)
5. Mountain Climber
6. High Knee Sprint
For weeks 7-8, try performing each exercise for 30 seconds continuously, then rest 60-90 seconds at the end. This will be one cycle. Repeat 2-3 more cycles.
Don't forget to warm-up! And for beginners, a good way to warm-up is to perform 2 sets of 20 jumping jacks each time prior to starting your workout. Each workout should last about 10-15 minutes long, depending on how much of a break you are taking at the end of each cycle. By the way, make sure you know how to perform each exercise properly to prevent injuries and for best results. You can find all of these exercises on youtube these days. Good luck and have fun!