Do you have an electronic jointer and thickness planer? Do you have a tablesaw or glulam saw that will cut 4.5"?
You wrote that they are all "about 2.25" thick and 8" wide." You also wrote that the plans you have call for 3.5" thick X 13.5" wide top. If that is your goal, and assumming you have the tools mentioned above, this is what I would do.
1. Scrub the boards down with a steel brush to remove embedded grit and oxidized wood.
2. Trim 1/4" off the each end of each board to eliminate embedded grit that will dull your blades and scratch your beds. You may not see it, but grit is always there.
3. Thickness plane 4 boards, and joint one edge of each. They don't need to be the same exact thickness, but they do need to be free of twist, and mostly straight. A little bow is not a problem.
4. Number the boards to maintain orientation.
5. Clamp 2 adjacent boards together face to face and with the jointed edge top, and drill a series of holes located 2" and 6" down from jointed edge, distributed near the ends and in between. Too many holes is better than too few.
6. Repeat the aligning and drilling until you have enough holes for dowels to keep all 4 boards in alignment with each other
5. Apply wax to and drive a dowel of the corresponding size into the holes of two adjoining boards. Alternate holes so only half of them are used during this first glueup. The dowels should be slightly shorter (1/4"?) that the combined width of the boards, and their ends recessed. These dowels will keep the boards in alignment during glueup.
6. Glue, clamp, and let cure 2 adjoining boards for 2 days (make sure the wood is warm prior to, and your workplace is warm during cure).
7. Repeat for the other 2 boards. You should have 2 gluelams now.
8. Rip each glulam in half, and dimension each to the same width. You should have 4 glulams now, each approximately 3.75"wide x 4"thick (depending on how much waste was lost to dimensioning).
9. Insert waxed dowels in the remaining holes.
10. Glue, clamp, and cure these 4 glulams, in 3 sets or all at once, to make a single glulam approximately 3.75"thick X 16"wide.
11. Cleanup squeezout.
12. Flatten with handplanes.
If this is too wide (sounds just right to me, and I would want the extra mass, space permitting), then mill the boards thinner to begin with, e.g. 1-11/16"
This will let you glueup a top with the minimum waste and without a helper (asuming your back and knees are OK). If you don't have the powertools, then the same thing can be accomplished using handplanes and handsaws, it will just take longer and you will lose weight. You will need at least 10 heavy duty bar clamps or pipe clamps.
Stan