Yes, those are two reasons rhabdomyolysis is best avoided, and why those
with pre-existing kidney disease processes can be at a higher risk of
it, especially if on fibrate therapy as well (many kidney diseases cause
elevation of triglyceride levels, which is usually treated with
fibrates).

Here are some more complications, taken from American Family Physician:

Early complications
Hyperkalemia
Hypocalcemia
Hepatic inflammation
Cardiac arrhythmia
Cardiac arrest

Late complications
Acute renal failure
Disseminated intravascular coagulation

Early or late complication
Compartment syndrome

Another complication of rhabdomyolysis is death.

I should have clarified that statins taken with fibrates pose a higher
risk of rhabdomyelosis; I have no idea if bile acid resins or nicotinic
acid taken with fibrates increase this risk.

More from AFP (3/1/2002):
Medications and Toxic  Substances That Increase the Risk of
Rhabdomyolysis

Direct myotoxicity
HMG-CoA reductase inhibitors, especially in combination with
fibrate-derived lipid-lowering agents such as niacin  (nicotinic acid;
Nicolar)
Cyclosporine (Sandimmune)
Itraconazole (Sporanox)
Erythromycin
Colchicine
Zidovudine (Retrovir)
Corticosteroids

Indirect muscle damage
Alcohol
Central nervous system depressants
Cocaine
Amphetamine
Ecstasy (MDMA)
LSD
Neuromuscular blocking agents

Traumatic,  Heat-Related, Ischemic and Exertional Causes of
Rhabdomyolysis

Traumatic causes
Lightning strike
Immobilization
Extensive third-degree burn
Crush injury
Heat-related causes
Heatstroke
Malignant hyperthermia
Neuroleptic malignant syndrome
Ischemic causes
Ischemic limb injury
Exertional causes
Marathon running
Physical overexertion in untrained athletes
Pathologic muscle exertion
Heat dissipation impairment
Physical overexertion in persons with sickle cell  disease

Infectious,  Inflammatory, Metabolic and Endocrinologic Causes of
Rhabdomyolysis

Infectious causes
Viruses: influenza virus B, parainfluenza virus,  adenovirus,
coxsackievirus, echovirus, herpes simplex virus, cytomegalovirus,  
Epstein-Barr virus, human immunodeficiency virus
Bacteria: Streptococcus, Salmonella, Legionella,  Staphyloccus and
Listeria species
Inflammatory causes
Polymyositis
Dermatomyositis
Capillary leak syndrome
Snake bites (mostly in South America, Asia and Africa)
Metabolic and endocrinologic causes
Electrolyte imbalances: hyponatremia, hypernatremia,  hypokalemia,
hypophosphatemia, hypocalcemia
Hypothyroidism
Thyrotoxicosis
Diabetic ketoacidosis
Nonketotic hyperosmolar syndrome

Genetic Causes of Rhabdomyolysis

Lipid metabolism
Carnitine palmitoyltransferase deficiency
Carnitine deficiency
Short-chain and long-chain acyl-coenzyme A  dehydrogenase deficiency
Carbohydrate metabolism
Myophosphorylase deficiency (McArdle's disease)
Phosphorylase kinase deficiency
Phosphofructokinase deficiency
Phosphoglycerate mutase deficiency
Lactate dehydrogenase deficiency (characteristic  elevation of creatine
kinase level with normal lactate dehydrogenase level)
Purine metabolism
Myoadenylate deaminase deficiency
Duchenne's muscular dystrophy