I don't understand what you mean about the continuity and the gap.
Continuity means (for this) direct connection (short circuit) between two points in a circuit (essentially zero ohms between connector contacts).
Something to remember about continuity or resistance testing is you can't do it directly on a circuit that has power applied and voltage difference across two points you're measuring--the current flow changes the reading you would get, and can actually damage your meter.
Measuring voltage from every contact to every contact, showing identical voltages at some, *may* indicate direct connection between those that are the same voltage, but doesn't necessarily.
If by "gap" you mean some contacts that don't measure anything to other contacts, that could mean they aren't internally connected, or have circuitry blocking your measurements, etc. You'd have to physically trace out the circuits and connnections and draw it all out to determine what is actually connected to cells, vs circuits, and what those circuits are and do.
If by "one battery" you mean a single cell, 1.2v is too low to safely recharge. Anything under 2v means the cell may be damaged in a way that could lead to bad things (including potentially fire) later on during recharging or discharging (or even just sitting there charged), and this could happen at any time in the future, with no warning.
If by "one battery" you mean a whole pack, 1.2v for what is probably 3 cells in series, and a least 2 in parallel, is very very dead cells, even less reusable than a single cell at that voltage (but I wouldn't re-use either one).
If you do decide to ignore the potential fire hazard and recharge them anyway, make sure you use a variable-current charging supply that lets you use a very tiny trickle current (a few mA at most) to bring them up to at least 2V+, and then increase that slightly until it's at least 3V, at which point you could charge at whatever the spec sheet for those cells says you can charge at. (you would have to look up the spec sheet from the cell manufacturer based on the markings on the cells. If they don't have markings, I would assume a few hundred mA maximum charge rate, say 200-300mA or less, as a safe limit).
If you use a non-current-limited power supply to charge with, then the damage to the cells from that is compounded with the damage of overdischarge, and increases fire risk.