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When it was outside, was it in the direct sun? Dracaena do best when placed in bright but indirect light. Try to avoid placing them in full sun as it will burn the leaves.

The soil of a dracaena should be kept lightly moist but not soggy. How often have you been watering it? Your plant could be under-watered or over-watered. Does your pot have good drainage? If the soil is soggy, you will want to repot your plant in fresh soil after inspecting it for root rot. If the soil is dry to the touch, you should water it.

For more information on drachena plant, please visit the following link:
https://www.gardeningknowhow.com/houseplants/dracaena/dracaena-houseplant-care.htm

It looks like it is a type of dragon tree:
http://www.ascensionatsea.net/Mediterranean/Spain/Canaries/Lanzarote/Lanzarote-30-1.jpg

I do not recommend using vines to disguise the tree. The following article explains why:
http://staugustine.com/stories/020406/gar_3601516.shtml#.VUFivpOGOW4

Was there a reason you repotted the plant?
Did you increase the size of the pot from it's original pot size?
What type of soil did you use to repot the plant?

I suspect the yellowing leaves may be from overwatering. Your plant may also be stressed from the move to a new pot before it was ready to be repotted. When moving up a to a new pot it's best to only go up one size.
Allow the soil to dry out slightly between watering. Provide a good amount of filtered sunlight.

Here is a link to the proper care and requirements of a Dracaena plant.

https://www.gardeningknowhow.com/houseplants/dracaena/dracaena-houseplant-care.htm

https://www.gardeningknowhow.com/houseplants/hpgen/learn-more-about-repotting-houseplants.htm

Your dracaena probably found its new setting a lot brighter than it's accustomed to inside your home. Outdoor shade is still brighter than most locations inside your home. Ideally, indoor plants should be slowly acclimated to outdoor life. Ficus are a little more adaptable than Dracaena in that respect which is why it's probably doing better. Here is an article on acclimating houseplants that will explain more:

https://www.gardeningknowhow.com/houseplants/hpgen/acclimating-houseplants-outdoors.htm

Without knowing which USDA hardiness zone, I would suggest that the dracaena could be planted outside. However, if temperatures drop below 50*F., your plant won't flourish. If temps drop below 40*F, you will see significant cold stress, and below 30*F., the plant won't survive. Since dracaena's are tropical, they require appropriately warm temperatures. Any plant can tolerate a few hours of temps below their preference, once in a while, but not on a consistent basis.

Yes, these are simply the root system.

https://www.gardeningknowhow.com/ornamental/cacti-succulents/euphorbia/caring-for-dragon-bone-plants.htm