Yes it would be better to remove the LEDs and then wire them up correctly with the proper Resistor.
Yes 1k = Brown, Black, Red, Gold
The First band (Brown) is a number, 1
The Second band (Black) is a number, 0
The third band (Red) is either the Multiplier (best to think of it as the number of zeros) or a Divider if it's Silver or Gold, in this case it's 2 since it's Red, so two zeroes, 00. (NOTE: If Black is in the Third bands place it's 0 for no zeroes. Red, Red, Black, Gold would be a 22ohm)
1 0 00 = 1000ohms = 1k
The Fourth band (Gold) is just the Tolerance band, in this case 5% +/- of the 1k value, so the Resistor can be anywhere from 950ohms to 1050ohms (1.05k) in value.
Black - 0
Red - 1
Brown - 2
Orange - 3
Yellow - 4
Green - 5
Blue - 6
Violet - 7
Gray - 8
White - 9
Silver - 10% Tolerance
Gold - 5% Tolerance
If Gold or Silver is in the Third bands place, then it becomes a Divider...
Silver - Divide by 100
Gold - Divide by 10
...so...
Red, Red, Silver, Gold is a 0.22ohm 5% and Red, Red, Gold, Gold would be a 2.2ohm 5%.
P.S. Sorry bout the "lesson", just felt like sharing.

There are other types of Resistors as well with more bands, but the majority of ones ya run into will be the 4 band type like these.