Like it was already pointed out in the comments, your assertions and assumptions are way off today's well-accepted theories. Nonetheless, I'll try to answer you questions.
Will our solar system die of old age in 5.4 billion years
Our sun is a G-type main-sequence star with an estimated lifespan of roughly 10 billion years. Like you mentioned, it is about 4.6 billion years old and will stay in the main sequence for another 5.6ish billion years. The sun's mass is not enough to end with it's life with a supernova. Instead it will become a red giant with a radius of about 1 AU (= astronomical unit), meaning that it will most likely devour planet earth, but won't expand further.
or will we be consumed by the Universal black hole?
I've never heard of something like an universal black hole, but it appear's to me that you might have a big misconception about black holes in general. If (for some completly unknown and unphysical reasons) the sun would all of the sudden turn into a black hole with the same mass, nothing much would change (on a cosmological scale). Planet earth's main energy input would seep away and we all would freeze to death, but gravitational, nothing would change. The planets orbits would be exactly the same and nothing would become 'consumed'. Black holes don't accrete mass (that's what I suppose you mean by consuming) due to some magical properties, but due to gravitational attraction, which is only dependent on the masses and the distance of the objects.
How long should it take for the 93 percent of universe to be consumed by the black hole?
Speaking of 93% of the universe might not make any sense. Today's measurements suggest that the curvature of space is flat ($Omega_{tot} = 1.00 pm 0.02$) and that yields in a possible infinite universe. Please see $lambda CDM-Model$
and Planck 2015 results. XIII
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