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The discoloration may be due to a nutrient deficiency. Fertilize with a complete organic fertilizer.

Prune moderately in late winter, early spring. You can do some reduction and thinning to open for sunlight to the lower stems, which may stimulate lower growth. But don't prune too extremely or the plant may not recover.

This is one of many species of Hoverfly or Flowerfly. This is a beneficial plant pollinator and will not harm your plants.

Here is an article that will help you explain their role in the garden:

https://www.gardeningknowhow.com/garden-how-to/beneficial/hover-flies-in-gardens.htm

This is, likely, transplant shock. This article will help:

https://www.gardeningknowhow.com/plant-problems/environmental/learn-how-to-avoid-and-repair-transplant-shock-in-plants.htm

Here is an article that will offer tips on how to care for your plant:

https://www.gardeningknowhow.com/ornamental/vines/stephanotis/stephanotis-plant-care.htm

They are a little tricky to care for in the home. They have temperature and humidity requirements, plus they need realer watering in the summer and less in winter. No fertilizer in winter.

This information should help:
https://www.gardeningknowhow.com/ornamental/vines/stephanotis/stephanotis-plant-care.htm

You only need to fertilize during the growing season in summer. Do not fertilize in winter. These are rather high maintenance plants which need a cool environment at night, high humidity, and moist soil. When these conditions aren't met, the leaves will drop.

Here is more on how to care for your Stephanotis plant:

https://www.gardeningknowhow.com/ornamental/vines/stephanotis/stephanotis-plant-care.htm

This looks like the very early stage of a flower bud! It is likely due to stress, though, that it is reluctant to flower, well. Give it some time to recover, and proper care, and it should resume flowering in a year or two.

https://www.gardeningknowhow.com/ornamental/vines/stephanotis/stephanotis-plant-care.htm