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It seems that the fabric is preventing water absorption. They are designed to allow water through but it does sound like the fabric is the culprit. Do you have mulch on top of the fabric? It could be too much "new" above the roots is preventing water and oxygen. I suggest removing the weed fabric and leaving the mulch.

Yes, you can transplant them in spring. Sometimes they are hard to find if they completely die back so be sure to mark them or leave some stems.

Here is more info about hardy hibiscus:

https://www.gardeningknowhow.com/ornamental/flowers/hibiscus/outdoor-hibiscus-care.htm

This article says to move them in late summer to fall but spring is OK, too. It may cause delayed blooming next year.

https://www.gardeningknowhow.com/ornamental/flowers/hibiscus/transplanting-hibiscus.htm

Follow instructions included with the plant. It is not too late to plant as roots continue to grow after leaf fall and into early winter. 6 weeks before the Ground freezes is the cut-off time. Dormant roots and bulbs can be planted until ground freezes. However, has your plant be acclimated to outside conditions or has it been in a greenhouse? If it has leaves and you didn't get planting instructions, call the business to inquire. It would be shocking for a plant to go from mild conditions to autumn without at least 5 days outside during the day and inside at night.

Close! Looks like scale insects, which are in the same family, in different parts of the lifecycle. They don't appear to move, often. Once they are in their adult stage, they seal themselves to plants. This can be very difficult to treat. Sometimes heavy pruning will be in order, unfortunately.

An internet search will reveal many, many species of scale. Many do not resemble each other even closely, but the treatment will be the same.

https://www.gardeningknowhow.com/ornamental/flowers/hibiscus

Prune your hibiscus between mid February and mid March, before the plant starts to grow actively in the spring. Use clean, sharp pruning shears to remove dead, damaged, or diseased branches. Cut back healthy branches by about one-third of their length to encourage bushy growth. Remove any crossing or rubbing branches to maintain the plant's shape and promote air circulation. Water the plant thoroughly after pruning, and apply a layer of mulch around the base to retain moisture and suppress weeds. Despite the plant still blooming, it's best to getting ready to prune now to prepare it for the upcoming growing season.

https://www.gardeningknowhow.com/ornamental/flowers/hibiscus/tips-for-pruning-hibiscus-plants-when-to-prune-hibiscus.htm

Did you try a systemic pesticide? It is watered into the soil and travels up the stems and to the leaves. It kills the pests when they feed. It looks like your plant is indoors so you don't have to worry about pollinators. The systemic pesticide works for about 8 weeks. You also can prune the plant back to remove many of the pests. Hibiscus grows back quickly.

https://www.gardeningknowhow.com/plant-problems/pests/pesticides/systemic-pesticide-in-gardens.htm