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It may just be in need of some phosphorus, which helps most plants with blooming. Bone meal is a good way to add phosphorus to the soil. Here is more information: https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/phosphorus-plant-growth.htm
https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/bone-meal-fertilizer.htm

A Honeysuckle that is less than 3 years old may be to young yet to flower.
Don't make the mistake in fertilizing your Honeysuckle. They will do well without extra feeding, but if you think your soil may be lacking nutrients you could use a light fertilizer early in spring. Look for a low nitrogen formula. 5-10-5. To much nitrogen will cause all vine and no flowers.
Give you plant plenty of sunshine and care and time!

Here is a link with more information.

https://www.gardeningknowhow.com/ornamental/vines/honeysuckle/honeysuckle-vine-care.htm

Most likely a case of Powdery Mildew, treat with Neem Oil.

Here are some links with more information.

https://www.gardeningknowhow.com/plant-problems/disease/powdery-mildew-homemade-and-organic-remedies.htm

https://www.gardeningknowhow.com/garden-how-to/info/what-is-honeydew.htm
https://www.gardeningknowhow.com/plant-problems/pests/pesticides/neem-oil-uses.htm

Vine species of honeysuckle can become invasive if not controlled and require regular shearing. Pruning honeysuckle vine is generally done in the fall or winter, when the honeysuckle plant is dormant. If your honeysuckle vine has been left untamed, don’t worry about giving it a good heavy prune. The vine will pop back up again in the spring.

Remove a significant portion of the upper branches when you prune. This may be difficult because they will be intertwined. It is even possible to prune them to within a foot or two of the ground. Pruning to remove only one-third to one-half of the branches at the top of the vine, you should have less vigorous vegetative growth. Leaving some of the older growth will allow the vines to produce their fragrant flowers this summer.

Yellowing leaves is generally a sign of watering issue. Either to much or not enough.

Make sure the pot is well draining and that the plant is not sitting in soggy soil
Most likely though the plant needs more water. When temperatures are above 85 degrees you will need to water twice daily for container plants.

Honeysuckle does prefer full sun, but it can grow in partial shade. Though this can be also a reason for yellowing leaves or poor growth, water is the first recommendation.
Also use a balanced fertilizer, look for 10-10-10. To much Nitrogen will slow flowers growth.
Here is a link for you.
https://www.gardeningknowhow.com/ornamental/vines/honeysuckle/honeysuckle-vine-care.htm

You likely are high in Nitrogen, this causes nice green foliage and no flowering.
You can correct with Phosphorous and Bone Meal is a good way to do this.

Here are some links for you.

https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/bone-meal-fertilizer.htm
https://www.gardeningknowhow.com/ornamental/vines/honeysuckle/honeysuckle-vine-care.htm